Question

HCF and LCM of 404 and 96 and verify that HCF x LCM =PRODUCT OF TWO NUMbER

Answer 1

Hope it will be helpful...

Answer 2

Answer:

HCF × LCM =Product of two Number=38784 is verified.

Step-by-step explanation:

Given : Two numbers 404 and 96

To verify : HCF × LCM =Product of two Number

Solution : First we find the HCF and LCM of the numbers

Factor of 404 and 96

$404=2\times2\times101$

$96=2\times2\times2\times2\times2\times3$

HCF is highest common factor

So, HCF of 404 and 96 is $2\times2=4$

LCM is the least common factor

So, LCM of 404 and 96 is

$101\times2\times2\times2\times2\times2\times3=9696$

HCF = 4 and LCM= 9696

Multiplication of HCF and LCM= $9696\times4=38784$

Product of two numbers = $404\times96=38784$

Therefore, HCF × LCM =Product of two Number=38784 is verified.